{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Gradient metasurface reflector\n",
        "\n",
        "Electromagnetic metamaterials and metasurfaces are artificially\n",
        "engineered structures made of subwavelength resonating unit cells. By\n",
        "utilizing various design principles, they have enabled fascinating\n",
        "electromagnetic phenomena and capabilities such as negative refraction,\n",
        "cloaking, perfect absorption, high-NA focusing, and so on. In Tidy3D’s\n",
        "example library, we have demonstrated a [dielectric metasurface\n",
        "absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/DielectricMetasurfaceAbsorber/),\n",
        "a [metalens at the visible\n",
        "frequency](https://www.flexcompute.com/tidy3d/examples/notebooks/Metalens/),\n",
        "and a [graphene metamaterial\n",
        "absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/GrapheneMetamaterial/).\n",
        "\n",
        "This notebook demonstrates a near-infrared metasurface reflector\n",
        "consisting of plasmonic antennas. First, we model the unit cell and\n",
        "extract the relationship between a geometric parameter and the\n",
        "corresponding complex reflection coefficient. Then, a super cell\n",
        "consisting of ten antennas is designed to exhibit a linear reflection\n",
        "phase such that the incident light can be diffracted to a particular\n",
        "angle efficiently. By a similar procedure, other beam shaping devices\n",
        "and metalenses can be designed according to different phase profiles.\n",
        "\n",
        "This example is based on the landmark work [Sun, S.; Yang, K.-Y.; Wang,\n",
        "C.-M.; Juan, T.-K.; Chen, W.T.; Liao, C.Y.; He, Q.; Xiao, S.; Kung,\n",
        "W.-T.; Guo, G.-Y.; et al. High-Efficiency Broadband Anomalous Reflection\n",
        "by Gradient Meta-Surfaces. Nano Lett. 2012, 12,\n",
        "6223–6229](https://pubs.acs.org/doi/abs/10.1021/nl3032668).\n",
        "\n",
        "<img src=\"img/gradient_metasurface_reflector_schematic.png\" width=\"600\" alt=\"Schematic of the gradient metasurface reflector\">"
      ],
      "id": "4496afb4-b5af-4235-9336-0e740a333eef"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "7cbea46b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Unit Cell Simulation\n",
        "\n",
        "### Simulation Setup\n",
        "\n",
        "In the first part of the notebook, we simulate a unit cell that consists\n",
        "of a rectangular gold antenna, a dielectric spacer, and a gold film on\n",
        "glass substrate. The thickness of the gold film is $d_3$=130 nm. The\n",
        "thickness of the spacer is $d_2$ = 50 nm. The thickness and width of the\n",
        "antenna are $d_1$=30 nm and $w$=90 nm. The only parameter we can vary is\n",
        "the length of the antenna $L$. The periodicities in x and y directions\n",
        "are $L_x$=120 nm and $L_y$=300 nm, respectively.\n",
        "\n",
        "First, define the simulation frequency and wavelength ranges."
      ],
      "id": "98a9deac-de6c-4afe-a480-6b9c1e6a9289"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 0.85  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # central frequency"
      ],
      "id": "7423afc8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define geometric parameters."
      ],
      "id": "fef73e8d-6cf7-4316-b54c-f22d95744b2a"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "Lx = 0.12  # unit cell size in x direction\n",
        "Ly = 0.3  # unit cell size in y direction\n",
        "d1 = 0.03  # antenna thickness\n",
        "d2 = 0.05  # spacer thickness\n",
        "d3 = 0.13  # gold layer thickness\n",
        "w = 0.09  # antenna width\n",
        "inf_eff = 1e2  # effective infinity"
      ],
      "id": "20498894"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Three materials will be defined in this model: gold for the antennas and\n",
        "the back plate, magnesium fluoride for the spacer, and silica for the\n",
        "substrate. Magnesium fluoride and silica will be modeled as lossless and\n",
        "non-dispersive dielectrics while gold will be modeled as a dispersive\n",
        "medium.\n",
        "\n",
        "More specifically, magnesium fluoride has a permittivity of 1.892 and\n",
        "silica has a permittivity of 2.25. For gold, we use one option from the\n",
        "Tidy3D’s built-in [material\n",
        "library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html).\n",
        "More specifically, we use the evaporated gold data from [Olmon et\n",
        "al](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.235147).\n",
        "There are other options for gold, as well as other common materials, in\n",
        "the [material\n",
        "library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)."
      ],
      "id": "79ac378e-a3b0-4d90-88e4-53d67174f037"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define MgF2 material for the spacer layer\n",
        "mgf2 = td.Medium(permittivity=1.892)\n",
        "\n",
        "# using material library gold refractive index\n",
        "au = td.material_library[\"Au\"][\"Olmon2012evaporated\"]\n",
        "\n",
        "# define SiO2 material for the substrate\n",
        "sio2 = td.Medium(permittivity=2.25)"
      ],
      "id": "bed1a33a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Construct the substrate, gold film, spacer, and antenna structures."
      ],
      "id": "cd3e18d7-9205-4b05-bb77-9370a205c0c7"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define SiO2 substrate\n",
        "sub = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -d3)),\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "# define gold layer\n",
        "gold_layer = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -d3), rmax=(inf_eff, inf_eff, 0)),\n",
        "    medium=au,\n",
        ")\n",
        "\n",
        "# define MgF2 spacer layer\n",
        "spacer = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, d2)),\n",
        "    medium=mgf2,\n",
        ")"
      ],
      "id": "b9c092d0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define a linearly polarized\n",
        "[PlaneWave](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PlaneWave.html)\n",
        "as the excitation source. The polarization is chosen to be in the y\n",
        "direction. Also define a\n",
        "[DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html)\n",
        "on the reflection side to extract the complex reflection coefficient."
      ],
      "id": "27885191-c82f-437d-9100-6f0c3c9442b3"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "fwidth = freq0 / 10  # width of the gaussian pulse\n",
        "\n",
        "# define a plane wave excitation source\n",
        "plane_wave = td.PlaneWave(\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, 0.3 * lda0),\n",
        "    direction=\"-\",\n",
        "    pol_angle=np.pi / 2,  # polarization is set to y direction\n",
        ")\n",
        "\n",
        "# define a diffraction monitor to calculate the reflection coefficient\n",
        "monitor_r = td.DiffractionMonitor(\n",
        "    center=[0, 0, 0.6 * lda0], size=[td.inf, td.inf, 0], freqs=[freq0], name=\"R\"\n",
        ")"
      ],
      "id": "f00041bb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To perform a parameter sweep over antenna length, it is convenient to\n",
        "define a function that builds the simulation with a given antenna length\n",
        "$L$. Later, this function will be called repeatedly to construct a\n",
        "simulation batch for parameter sweep."
      ],
      "id": "6fe7f8cc-26d4-45eb-9126-be65d6e60579"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "Lz = 1.5 * lda0  # simulation domain size in z direction\n",
        "sim_size = [Lx, Ly, Lz]\n",
        "\n",
        "run_time = 3e-13  # simulation run time\n",
        "\n",
        "boundary_spec = td.BoundarySpec(\n",
        "    x=td.Boundary.periodic(),\n",
        "    y=td.Boundary.periodic(),\n",
        "    z=td.Boundary(minus=td.PML(), plus=td.PML()),\n",
        ")\n",
        "\n",
        "\n",
        "# define a function to build simulation given antenna length L\n",
        "def make_sim(L):\n",
        "    # define the gold antenna\n",
        "    antenna = td.Structure(\n",
        "        geometry=td.Box.from_bounds(rmin=(-w / 2, -L / 2, d2), rmax=(w / 2, L / 2, d2 + d1)),\n",
        "        medium=au,\n",
        "    )\n",
        "    unit_cell = [sub, gold_layer, spacer, antenna]\n",
        "\n",
        "    # set up simulation\n",
        "    sim = td.Simulation(\n",
        "        size=sim_size,\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "        structures=unit_cell,\n",
        "        sources=[plane_wave],\n",
        "        monitors=[monitor_r],\n",
        "        run_time=run_time,\n",
        "        boundary_spec=boundary_spec,  # pml is applied to z direction. x and y directions are periodic\n",
        "    )\n",
        "    return sim"
      ],
      "id": "1c87588e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To ensure the simulation setup is correct, let’s test a specific case\n",
        "where the antenna length is 150 nm and visualize the simulation. From\n",
        "the plot, the geometry, source, and monitor all seem to be correctly\n",
        "defined."
      ],
      "id": "15d46de0-e039-47c5-ac97-9f39d01abbd7"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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FCxeib9++iIiIwPHjx33dJY/avn07+vbtiyeeeAL9+vXzeHucUEdERLKktAl1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\niBSG4U5ERKQwDHciIiKFYbgTEREpzP8DdOLZaXUeR8UAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# test a case where the antenna length is 150 nm\n",
        "sim = make_sim(0.15)\n",
        "# visualize the simulation\n",
        "sim.plot(x=0)\n",
        "plt.show()"
      ],
      "id": "a8d04a44"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To have a better visualization, we can also plot the simulation in 3D."
      ],
      "id": "7de99aa2-62bf-441d-a97d-308fd0a98f7b"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
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              "    <script>\n",
              "        \n",
              "        /**\n",
              "        * Simulation Viewer Injector\n",
              "        *\n",
              "        * Monitors the document for elements being added in the form:\n",
              "        *\n",
              "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
              "        *\n",
              "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
              "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
              "        * configuration of the first started script (e.g. viewer URL) applying.\n",
              "        *\n",
              "        */\n",
              "        (function() {\n",
              "            const TARGET_CLASS = \"simulation-viewer\";\n",
              "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
              "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
              "\n",
              "            class SimulationViewerInjector {\n",
              "                constructor() {\n",
              "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
              "                        this.injectViewer(node);\n",
              "                    }\n",
              "\n",
              "                    // Monitor for newly added nodes to the DOM\n",
              "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
              "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
              "                }\n",
              "\n",
              "                onMutations(mutations) {\n",
              "                    for (var mutation of mutations) {\n",
              "                        if (mutation.type === 'childList') {\n",
              "                            /**\n",
              "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
              "                            * It may be the case that setting content with innerHTML does not trigger.\n",
              "                            *\n",
              "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
              "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
              "                            */\n",
              "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
              "                            for (var node of viewers) {\n",
              "                                this.injectViewer(node);\n",
              "                            }\n",
              "                        }\n",
              "                    }\n",
              "                }\n",
              "\n",
              "                injectViewer(node) {\n",
              "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
              "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
              "                        // Mark node as injected, to prevent re-runs\n",
              "                        node.classList.add(ACTIVE_CLASS);\n",
              "\n",
              "                        var uuid;\n",
              "                        if (window.crypto && window.crypto.randomUUID) {\n",
              "                            uuid = window.crypto.randomUUID();\n",
              "                        } else {\n",
              "                            uuid = \"\" + Math.random();\n",
              "                        }\n",
              "\n",
              "                        var frame = document.createElement(\"iframe\");\n",
              "                        frame.width = node.dataset.width || 800;\n",
              "                        frame.height = node.dataset.height || 800;\n",
              "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
              "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
              "\n",
              "                        var postMessageToViewer;\n",
              "                        postMessageToViewer = event => {\n",
              "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
              "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
              "\n",
              "                                // Run once only\n",
              "                                window.removeEventListener('message', postMessageToViewer);\n",
              "                            }\n",
              "                        };\n",
              "                        window.addEventListener(\n",
              "                            'message',\n",
              "                            postMessageToViewer,\n",
              "                            false\n",
              "                        );\n",
              "\n",
              "                        node.appendChild(frame);\n",
              "                    }\n",
              "                }\n",
              "            }\n",
              "\n",
              "            if (!window.simulationViewerInjector) {\n",
              "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
              "            }\n",
              "        })();\n",
              "    \n",
              "    </script>\n",
              "    "
            ]
          }
        }
      ],
      "source": [
        "sim.plot_3d()"
      ],
      "id": "905e11d1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we are ready to perform the parameter sweep. In this particular\n",
        "case, we investigate antenna length from 40 nm to 280 nm. This is broken\n",
        "down into 14 simulations. A simulation batch is constructed by calling\n",
        "the `make_sim` function with different antenna lengths."
      ],
      "id": "1f2fc8f7-5f78-4b9e-be3f-20eb9a52b27e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "Ls = np.linspace(0.04, 0.28, 14)  # antenna lengths for parameter sweep\n",
        "\n",
        "sims = {f\"L={L:.2f}\": make_sim(L) for L in Ls}  # construct simulation batch"
      ],
      "id": "cb936a3a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation batch to the server."
      ],
      "id": "8d2d5bf8-86d7-42ac-86e9-aecec37031a4"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1e48674e9f3646d99916d4cc37b062d0\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:41:51 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span> tasks.                      \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:02 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.350</span> for the whole batch.                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"b153c7c06a2949b79cc6ffc25e5ce09f\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:09 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "# submit simulation batch to the server\n",
        "batch = web.Batch(simulations=sims, verbose=True)\n",
        "batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "79f0473d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Result Analysis\n",
        "\n",
        "After the simulations are complete, we are ready to extract the\n",
        "reflection coefficients. The reflection coefficient is simply the\n",
        "amplitude of the zero-th diffraction order."
      ],
      "id": "b5ab07b2-8c93-4d7a-bf70-35aba99dc643"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "# extract the reflection coefficient at each antenna length\n",
        "r = np.zeros(len(Ls), dtype=\"complex\")\n",
        "for i, L in enumerate(Ls):\n",
        "    sim_data = batch_results[f\"L={L:.2f}\"]\n",
        "    r[i] = np.array(sim_data[\"R\"].amps.sel(f=freq0, polarization=\"s\"))[0][0]"
      ],
      "id": "f802129d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To visualize the results, we plot the phase of the reflection\n",
        "coefficient and the reflectivity as a function of antenna length. Since\n",
        "the absolute value of the phase does not carry physical significance, we\n",
        "define 0 phase as the phase when the antenna is 40 nm long. The\n",
        "reflectivity decreases slightly when the antenna is 100 nm to 200 nm\n",
        "long but overall the reflectivity is above 80%."
      ],
      "id": "0a903bf7-cb8f-4371-a3ed-e52b20053366"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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zFQqV0Zed3lf1Es/YOZl9ZahGzPvvv68pU6YYavfvhAkNDdW8efM0b948tWnT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\nebu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          }
        }
      ],
      "source": [
        "# plot the reflection phase\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "theta = np.unwrap(np.angle(r)) * 180 / np.pi\n",
        "theta = theta - theta[0]\n",
        "ax1.plot(Ls, theta)\n",
        "ax1.set_xlabel(r\"L ($\\mu m$)\")\n",
        "ax1.set_ylabel(\"Reflection phase (degree)\")\n",
        "\n",
        "# plot the reflectivity\n",
        "ax2.plot(Ls, np.abs(r) ** 2)\n",
        "ax2.set_xlabel(r\"L ($\\mu m$)\")\n",
        "ax2.set_ylabel(\"Reflectivity\")\n",
        "plt.show()"
      ],
      "id": "299f5b25"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Super Cell Simulation\n",
        "\n",
        "### Simulation Setup\n",
        "\n",
        "The above phase relation provides a look-up table such that a gradient\n",
        "metasurface with an arbitrary phase profile can be designed. For\n",
        "example, when designing a metalens, a parabolic phase profile can be\n",
        "used. In this example, we aim to construct a beam steering reflector.\n",
        "Therefore, a linear phase profile is used.\n",
        "\n",
        "Here we adapt the idea from the referenced paper and design a super cell\n",
        "that consists of 10 antennas of 5 different lengths. The lengths are 40\n",
        "nm, 106 nm, 128 nm, 150 nm, and 260 nm. The plot below confirms that\n",
        "this design indeed yields a nearly linearly varying phase across the\n",
        "super cell."
      ],
      "id": "3b1b88d4-1a38-46e8-8a95-a8b771233917"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uzIac+76h9QAAAABai1aXlNTU1OTee+/NN7/5zRx77LHp0aNH2rdv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\n33//TJ48eZNq9OjRI3/84x+zzz77VKirt/3pT3/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8/6yv2RUFAAAALVSpXC6X\nm7uJ1mrixIk55ZRT1vlWvYMOOih/+MMf0q1bt4quW1tb21izpqamRb95r1wu56a/jMl140flhbkz\n1zlvYK/+OX/Y6Tnz4BMFUQAAAFBBlc4RhFHNbMGCBbn22mszbty4zJo1K1VVVRk0aFBOO+20/Ou/\n/mvatKn85rXNKYxapVwuZ+LzT2bUpLGZ+fqsLF62JJ2rOqZ/z+1zxtDjMmTgPkIoAAAAaALCKDbZ\n5hhGAQAAAM2j0jmCM6MAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDC\nCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAA\nAIDCCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDCCKMAAAAAKIwwCgAAAIDCtGvuBiheQ0ND\n4+eFCxc2XyMAAABAi/fO7OCdmcJ7JYxqhd54443GzzvuuGMzdgIAAABsTt5444107959k2p4TA8A\nAACAwpTK5XK5uZugWCtWrMisWbOSJF27dk2bNptPJrlw4cLG3Vwvvvhitt566+ZtiIrx3b4/+V7f\nn3yv71++2/cn3+v7k+/1/ct3+/60uX+vDQ0NjU9Zbb/99mnXbtMetPOYXivUrl277LDDDs3dxibb\neuutU11d3dxt0AR8t+9Pvtf3J9/r+5fv9v3J9/r+5Ht9//Ldvj9trt/rpj6a906bz5YYAAAAADZ7\nwigAAAAACiOMAgAAAKAwwigAAAAACiOMAgAAAKAwwigAAAAAClMql8vl5m4CAAAAgNbBzigAAAAA\nCiOMAgAAAKAwwigAAAAACiOMAgAAAKAwwigAAAAACiOMAgAAAKAwwigAAAAACiOMAgAAAKAwwigA\nAAAACtOuuRug9XnzzTfzxBNP5LHHHsvTTz+d5cuXJ0muueaa9OjRo6Jr1dbW5vbbb8/TTz+dhQsX\nZptttsmhhx6ao48+OltssUVF12rtGhoaMmXKlDz22GN5/PHHM3/+/CTJiBEjMmLEiIqscc4556Su\nru5d5330ox/NmWeeWZE1W7vp06fn4YcfzowZMzJnzpzU1dWle/fu2WeffXLCCSeke/fuFV1v2rRp\nueOOOzJt2rQsX748ffv2zfHHH58PfehDFV2ntVu0aFEefvjhPPPMM5kzZ07mzZuXTp06ZeDAgTny\nyCOz9957b/IaL7zwQr761a9u0NxvfvOb2X333Td5TZI5c+bkgQceyAsvvJA5c+bkjTfeyFZbbZXd\ndtstxxxzTAYMGFCxtcrlcv7yl7/knnvuyezZs7Pllltm5513zqmnnpq+fftWbB2SpUuXZuLEiZk8\neXJeffXVvP7666mqqkrfvn1z8MEH5/DDD0/btm03aY077rgjt9xyy7vOa9u2bW699dZNWov1+8Y3\nvpEpU6YkSfr27Zsf/OAHFam7dOnS3HXXXZk4cWJef/31dO/ePfvtt19OPvnkdOnSpSJrsG7jx4/P\nNddc0/jn//7v/07//v3fc71LL700zz777LvO23///fOVr3zlPa/D2+67775cd911GzT3t7/9bTp2\n7LjJa7722msZPXp0pkyZksWLF2fbbbfNv/zLv2TYsGGb/O/8FqEMBfn73/9e3n333ctt2rQpJ1nj\nZ8aMGRVd78Ybbyx37dp1rWvtvPPO5cmTJ1d0vdbsYx/7WLlz585r/bv+xje+UbF1ttpqq7Wu8c8/\nX/7ylyu2Zmt13333lfv06bPev+ctt9yyfOmll5br6+s3eb36+vryxRdfXC6VSmtd6/jjjy/Pnz+/\nAr9Z67Zy5cryfvvtt85/D6/6+Zd/+ZfySy+9tElrTZo0aYP+eU1SfuCBByrzC7Zi8+fPL+++++7v\n+nd9yimnlOfNm7fJ682ePbt8+OGHr3WNdu3alb/xjW+UGxoaKvCb8YUvfKG85ZZbrvd73Wmnncr/\n93//t0nrXHbZZRv0z2vbtm0r9JuxNn/4wx9W+/vefffdK1L3oYceKvfr12+t3+kHPvCB8v/+7/9W\nZB3WbtGiRWv8d9Vf//rXTap50EEHbdA/s8cee2xlfolW7pprrtng/66pra3d5PV+/OMfr/Pf/fvt\nt1/5+eef3/RfqpnZGUVh5s+fnylTpqRz587Zb7/98qEPfSjPPvts7r777oqvdcstt+Tss89OuVzO\nTjvtlPPOOy/bbrttnn766fz85z/PP/7xj3zkIx/JpEmTMmjQoIqv39o8/vjjWbJkSXbfffd86EMf\nSt++ffPNb36zydY75ZRTcvrpp69zfJdddmmytVuL2bNnZ/bs2UmS/v3759hjj81ee+2Vzp075/nn\nn8+vfvWrzJo1K5dddllmzJiRG2+8cZPWO//88/OrX/0qSXLYYYfltNNOS1VVVe67776MGjUqd911\nV4477rg88MAD2XLLLTf592utGhoaMnny5CRJx44dc/TRR+fggw/ONttskwX/X3t3HhdV9f8P/DUs\ngsmOCAKCmgYqaPZVywxRUdRSKUGrh5obftxySXNJzTW3zBL9uGcft3JLTVxIQ01NUVHowwhIuIwi\nEiAqOwrM+f3Bb27wYdiGmVHg9Xw8fDTMOfecc+d25t5533PPSUvDkSNHcPr0aYSGhqJLly4ICwuD\ns7NztetdsmRJuf2So6KqLzc3F9HR0XjttdfQpUsXNGvWDM7OzlAqlbh37x727NkjjTyMjY1FeHi4\nxndt09PT4evri5iYGBgZGWH48OHw8vJCZmYmdu3ahatXr2LRokXIy8vDihUrtLyndc+NGzdQv359\n9OzZEx4eHnBycoK1tTUePnyI8+fP4/jx47h9+zb69OmDEydOoFevXtWqz9jYGD/99FOZ6QYGnOVD\nV54+fYpx48YBAExNTZGXl6eVcq9fv44+ffogJycHtra2GDduHNzd3aFQKLBp0yYkJiYiICAAR48e\nRZ8+fbRSJ5X0+eefSyNItXVcVTp27IiZM2eWmd64cWOt1kfArl27yr0ebdCgQbXK/+677zBt2jQA\ngIeHB0aNGgVbW1tcvXoV27Ztw/Xr1+Hj44MrV67U7OP7oqNhVHc8evRIyOVyUVhYKL03d+5crY+M\nevTokTSC5o033hDp6ekl0qOiokSDBg0EANGtWzet1FnXhYeHi8zMTOnv+Ph4nY6Mmjt3rtbKJPX+\n85//iHbt2okjR46U6LMqGRkZolu3btJxrs4d1ZCQEKmccePGlUrfsmWLlP7VV19pXA8VjUCzsLAQ\nS5cuFY8fP1ab57vvvpM+74CAAI3rKj4y6sKFCxqXQ5WTm5sr4uPjy0wvLCwUkyZNko7JihUrNK5r\nypQpUjmHDh0qkVZQUCAGDRokAAiZTCbCw8M1roeKxMbGljsC9cKFC8LExEQAEO7u7hrXoxoZZWJi\nonEZVD0jRowQAMTHH38sjXSs7siowsJC0bZtWwFA2NnZiTt37pRIT05OFi1atBAAhKOjo8jJyalW\nfVRaaGioACBsbW3FtGnTtD4yys/PTyvtpPIVHxlV/HePtt25c0fUq1dPABA+Pj4iLy+vRPq5c+eE\nkZGRACA++ugjnbVDH3hrg/TG1tYWHh4eOr+jtm7dOqSnpwMANm3aBAsLixLpnp6emDNnDgDg999/\nx8WLF3XanrqgQ4cOMDMze9HNIC167733EBERgQEDBqjts+bm5tixY4eUtnPnTo3r+uqrrwAA9vb2\naufFGDNmDLp37w4AWLVqFZ49e6ZxXXWdoaEh4uPjMWfOHFhbW6vNM3XqVHh7ewMAjhw5In2f0svN\n1NS03PmgDAwMsHLlSulO7pkzZzSqJy0tTZrzZPDgwfjggw9KpBsaGmLz5s1o0KABhBBYunSpRvXQ\nP9zd3WFkVPbDDO+88440WvjmzZtISkrSV9NIi06ePInt27fD2toaa9as0Vq5wcHBiIqKAgAsXboU\nzZo1K5HeqFEjBAUFAQAePnwojVIm7cjKykJgYCCAojmitD0/LtU+K1euxPPnz2FoaIjvv/8eJiYm\nJdK7du2K8ePHAwD27duH+Pj4F9FMrWAwimqdAwcOAADatm2Ljh07qs0zevRoyGSyEvmJ6B92dnYV\nBo5dXFzQsmVLAEBMTIxG9Tx8+BCXLl0CAAwZMgT169dXm091IZeeno7ffvtNo7oIkMlkaNSoUYX5\nevbsCQDIz8/HrVu3dN0s0pP69etLP4QKCws1KiM4OFhaeETVL/+XtbU1Bg4cCAD49ddfkZWVpVFd\nVHnFJ4zX9NjSi5OZmYkxY8YAKLrpUpnv6cpSXeeampqWubhL37594eTkVCI/acfs2bOhUCjQvXt3\njBgx4kU3h15ySqUShw8fBgD4+PiUOcG96vwrhMDBgwf11TytYzCKapW0tDTpR3G3bt3KzGdvby/N\nX3Lu3Dl9NI2oVsrPzwdQdDLUxIULF6Rty+uzxdPYZ3VPdVwBzY8tvXwSExPx8OFDAMD//d//aVTG\n+fPnAQBGRkbo0qVLmflUfTYvLw9XrlzRqC6qvPDwcABFo1y0Mc8b6deMGTOQkJAAb29vjBo1Sqtl\nq/psp06dypwnTiaToWvXrgCAS5cuoaCgQKttqKvOnz+PDRs2wMTEpNKrsFHdFhsbi5SUFADlXxd7\nenrCxsYGQM2+LuYE5lSrqJbBBYBWrVqVm9fd3R2xsbGIi4uDUqnkhJw1iFwuxxdffIGEhAQYGxvD\n0dERb7/9Nnx9fWFsbPyim1dnKBQK3L17F0DF/a0sle2zjo6OsLCwQEZGhsajsKjyTp8+DaAo4KAa\n/VYdwcHB2LdvH9LS0mBmZobmzZvDx8enzNGrpH2xsbEYM2YMCgsLYWtri88//1yjclR91tXVtdwJ\n0ItPWB8TEwMfHx+N6qPyZWZm4ptvvsGvv/4KAFi+fHm1y1QqlVi7di3kcjmys7NhbW0NT09P9O3b\nF66urtUun0o6e/YstmzZIgUsVCP3tSEjI0NajKQy18VA0c2I+Ph4jc/rVCQ3NxejR4+GEALz5s3T\nyrm0LImJiVi0aBHu3LkDpVIJe3t7dOzYEe+99x6n0dAR1YJYmZmZsLS0RJs2bdC7d+9qH+fKXhfL\nZDK4ubkhLCysRl8XMxhFtUpiYqL0WjXcuCyq9NzcXKSlpfEZ7hokODgYwcHBpd53dnZGUFCQ9HgI\n6daiRYukUTMff/yxRmVUpc86OjqWuLAm3Th9+rQ0l17fvn1haWlZ7TJXrVql9v3OnTvjhx9+4AqY\nWhYeHo6VK1cCALKzs5GQkICYmBgIIdCtWzds27ZN43Oeqs9W9hwLgH1Wi4YPH47s7GwUFhYiKSkJ\nMTExyMzMhJOTE1asWIGhQ4dWu478/HxMmTKl1PuGhoYYNmwYgoKCSs3HSZrJzs5GYGAghBCYM2cO\n3NzctFq+JtfFQFGfZTCqeubNm4dbt26hdevWmDVrlk7runbtGq5du1bqfSsrK8yfPx9Tp07VapCT\ngOnTp5d6TyaTwd/fHxs3bkTDhg01KleTPluTz7EMRlGtkpmZKb2uaEnN4ulZWVkMRtUAMpkMHTt2\nhJeXF1xdXWFnZ4eUlBScPn0ax48fx4MHD+Dv74/169djwoQJL7q5tdqRI0ewY8cOAEVD/wcNGqRR\nOao+K5PJypwvSkXVZzn/jO6kpaVJ8xAYGxtXe/JpU1NT9OjRA+3bt4eLiwteeeUV3L17F4cPH0Zk\nZCTCwsLQqVMnXLhwAe3atdPGLhCKLmbVzSHRtWtXzJ8/H82bN9e4bFWfreo5lrRD3aICNjY2mDdv\nHvz8/Kpdvp2dHXr37g03Nze4uLigsLAQN27cwJ49e5CUlITt27cjMjISFy5cgLm5ebXrq+u++OIL\n3LlzB+7u7pg9e7bWy6/OdTFp7vLly1izZg1kMhm2bNmi01H77u7u6NGjB5o1awZHR0ekp6cjLCwM\nBw4cwNOnTzFt2jTEx8djw4YNOmtDXWJlZYXevXujdevWcHFxgUwmQ2xsLPbu3Yt79+7h559/lq5v\nNPltqUmfVSqVyM3NrfA6+mXEYBTVKqpJVQGUu/IMANSrV096zdW5aoaIiIhSq8AAwJQpU3D58mX0\n69cPaWlpmDJlCnx8fLR+h5GKREdHY9iwYRBCwNzcHD/++KPGd9xUfbai/gr802fZX3UjPz8fH374\nIRQKBQBgxYoV8PT01Li8Vq1aITExUZrToLgvv/wSa9euxdSpU5GZmYmPPvoIN27cgKGhocb10T86\ndeokTUKcm5uL27dv48CBAzh//jx69OiBsWPH4t///nel+t3/qmyf5TlWN3bu3Innz5+jsLAQycnJ\nOHv2LI4ePYrx48djzZo1OHbsWLmrKpZnxIgRmDVrltofzkuWLMHo0aOxd+9e/Pe//8XMmTOlVRVJ\nM3/88QfWr18vBSyK9xlt4XWx/j179gyjRo2CUqnE2LFjy51br7p27typ9ubC+PHjsXDhQvTr1w+x\nsbHYuHEjevfurZWAdV3m5+eHESNGSKvSFrdkyRJMnjwZmzZtwu3btzFhwgSNFgOoTp+ticEoTpJD\ntUrx+SsqOpHm5uZKryuKPNPLQV0gSuWtt97Czp07AQAFBQXSMsWkXffv30efPn2QmZkJY2NjHDhw\nQOMfPsA/fTY/Px9KpbLcvKo+y/6qfUIIjBw5UporatSoUZg2bVq1yrS0tFQbiFKZPHkyPv30UwBF\ny9EfP368WvXRPxwdHREQEICAgAAMGzYMCxcuhFwux8yZMwEAmzdvxsKFCzUqW9VneY59MQYMGICA\ngAB8+OGHmDx5Mg4fPoxz587B0tIScXFx6NOnD/Ly8jQq29nZucwRHK+88gp27dqFtm3bAgC2bdtW\naoQWVV5eXh5Gjx4NpVKJwMBAeHl56aQeXhfr38KFCxEbGwsHBwfpcWldKW+Ua/PmzREcHCwFLFav\nXq3TttQFjRs3VhuIAopGk2/YsAHe3t4AgJ9//hn37t2rch11rc8yGEW1SvG5TZ4+fVpu3uIXUZz7\noHZ49913pSVQf//99xfaltooOTkZPXv2xIMHD2BoaIgff/wRvXv3rlaZxftsRT9sVOnsr9r36aef\n4scffwQABAQEYMuWLXqpd+LEidJr9lndMjAwwMqVK6VJ44OCgjQa/aDqszzHvjy6dOkiPVJ7+/Zt\nnS3zbWRkhH/9618Aim4gqOaWo6pbvHgx/vrrL9jb2+s0YMHrYv2KiorCN998AwBYu3atVuZcrI4W\nLVrA19cXABAWFlZi1A1pn0wmw/jx46W/NVnlTpM+a2pqWmMXcOJjelSrvPrqq9LriqLRqvSGDRu+\n8JMFaY+bmxsUCgWSkpJedFNqlcePH6NXr16Ij4+HTCbD1q1bNZ4nqrj/7bPW1tZq8ymVSmmCxuqM\nxKLSZs2aJc0l8e677+Knn37S2+NyLVu2hIGBAZRKJfusnvTv3x/h4eHIyspCTEwM2rdvX6XtX331\nVSgUikqfYwH2WX0YMGCANNLw6tWrGDJkiE7qKf74O/us5iIiIgAUBX3GjBmjNk9CQoL034CAAABA\n9+7dSwTxK+Li4gJjY2Pk5+ezz+pBVFQUCgoKYGJign379mHfvn2l8sTFxUmvZ8yYAUtLSxgaGqrN\nqw1ubm44duwYCgoKkJqaWuGk2FQ91f2O/N/r4vJGTar6bE3urwxGUa3i7u4unXQjIyPLzatKr86c\nKPTyUd3p18XcC3VVRkYGevfuDblcDgBYv349Ro4cqZWyVY98AEV98vXXX1ebTy6XIz8/HwD7rDYt\nWrQIX3/9NQDAx8cHBw8e1OvdtefPn0uPZ7LP6kfxEQ+a3CVv27YtTp8+jeTkZCQlJaFx48Zq86l+\nbAPss/pQ3eNaWcVH07HPVl98fDzi4+PLzZORkSGNdjMzM6tS+cbGxnB3d4dcLq/wuljVZ21sbBiw\nqKZnz55VaoRiaGgoAOj0BhD7rH5V9/Mufr6MjIwsc4XUvLw83Lx5s9Q2NQ2DUVSrmJqaonv37jh1\n6hRCQ0ORn5+v9ofVtWvXkJqaCqBoJADVDnl5ebh+/TqAmn2X4GWSnZ2Nd999V1oyePXq1SWGIFdX\n165d0aBBA2RnZ+PEiRNlBrlCQkKk1+yz2rF69Wpp3iAvLy8EBweXOReCrhR/zId9Vj+K35V3dnau\n8vZ9+/bFd999BwA4ceIERo8erTafqs82bty4yqOvqOqqe1wr648//pBes89qbt68edLKpWWZNm0a\nEhIS0KRJE3z77bcAIE1FUBV9+/aFXC5HbGwsFAqF2jIyMjJw6dIlKT9ppmvXrhVOWv3LL79Ij8Wv\nWrUKTZs2hYGB7mbOUfVZKysr2Nra6qweKlLd70gnJye0bdsWUVFRCAkJKXOur9DQUOnGQ42+LhZE\nL9DcuXMFAAFA3L17Vytl7t69Wypz69atavMMHjxYABD16tUT9+/f10q99I/4+HjpGCxYsEBv9c6b\nN0+qd8WKFXqrt7bKy8sTPj4+0me6bNkyndQzYsQIAUAYGxuLv/76q1R6VlaWcHFxEQCEp6enTtpQ\n12zcuFE6rm+++abIyMjQexueP38u3n77bakdf/75p97bUNc8ePBAWFpaCgDCw8NDozLy8/NFkyZN\npDKeP39eKs+VK1ek4zpjxozqNpsqISAgQPrMw8PDdVKHQqGQ/v9xcHAQBQUFOqmHirRp00YAEG3a\ntKlWOXK5XMhkMgFATJw4UW2eZcuWSf//nDx5slr1UfmWL18ufdaRkZE6rWvv3r1SXUOHDtVpXSRE\nSkqKcHR0FACEmZmZyMzM1Kicb775RjpuR48eLZWuVCpFt27dBABhZWUl0tPTq9v0F4bBKHqhqhqM\nCgsLE/7+/sLf318EBwerzVNYWCjatWsnAAgLCwsRGhpaIm3FihVSndOmTdPWrlAxmgSjhg4dKvz9\n/cVnn32mNn3dunUiJCRE5OXllUp78uSJ+Pzzz6U6nZ2dNT4BUJH8/HzRv39/6TOdP3++RuVs3rxZ\n6rNl9XGFQiHq168vBZvu3bsnpWVkZAg/Pz+pHcePH9eoHfSPnTt3Sj9M3njjDfHkyZMqlxEbGysd\n1x07dpRKz8vLE/PnzxfXr19Xu31cXFyJQOdHH31U5TZQSVu2bBFHjx4Vubm5atNDQ0NFixYtpM/8\n0KFDavONHz9e+Pv7i8DAwDLr2rFjh1TOiBEjStQZGxsrmjdvLgAIa2tr8ejRo+rtWB0XHh4uNmzY\nIB48eKA2PSEhQQwdOlQ6Hn5+fmrz7du3T+qz6n4AR0REiHXr1pX4/i3u1KlTwtXVVarn+++/13SX\nqJIqE4xKSkqSjmtQUFCZ+YYNGyYACAMDA7F58+YSaYcOHRImJiYCgOjevbvW2k/qVTYY9cUXX0jH\nVp09e/aIffv2qQ1E5OXliaCgIGFqaioAiPr166u92UeVFxcXJ1avXi3i4+PVpv/xxx/C3d29wpvi\nISEh0nE9f/682jy5ubnSTVh7e/sSNxieP38upk+fLtXz9ddfV3/nXiA+pkd6NWHCBKSkpEh/R0dH\nl0grvpzl0KFD8f7775fY/sGDB9Iz2G+99Rb69+9fqg4DAwMcOnQInTt3RkpKCnr27In27dvD0dER\ncrkc9+/fBwB4e3tj+fLl2ty9Omv//v3Yv3+/9Hd2dnaJtBs3bkh/Ozk5ISgoqFQZhw8fRnZ2Ntq0\naaO2jr179+LixYt45ZVX0KRJEzg4OMDKygopKSmIjIyUlrJ2cnLCr7/+WuV5FaikoKAgHD16FEDR\ncrHR0dHSBKrqlDX5ZkREhNRn582bp3ZbV1dX7Nq1C4MHD4ZcLkfLli3RuXNnmJiY4MqVK9JqIfPm\nzavZQ5FfAg8fPsTIkSMhhABQtGpLRY+KfPbZZ+jSpUuJ9x49eiQdV3WPfOTn52Px4sVYvHgxbGxs\n4OzsDAcHB9SrVw8KhQLR0dFSG3r06IFt27ZpYe/qtiNHjuD48eOoX78+mjRpAnt7e9jY2CArKwvR\n0dH4+++/Afyzqt4HH3ygtpwTJ07g3r17sLe3L7OuTz75BJcuXcLmzZuxfft2HDt2DB06dEBmZiYu\nX76MwsJC1KtXDz///DMfC6kmhUKBCRMmYOLEiVI/atSoEYCiyWtjYmKkede8vLywc+dOteXExMRI\nfVZdn7937x4mTZqESZMmSfXY29ujoKAA0dHR0gISMpkMc+bMKfPxTNKvrKws6biW95j1+vXrIZfL\n8eeff2Ls2LFYtWqVtOCL6lq8adOm+Omnn/TSbqrYmTNncOXKlTLTf//9d2zevBnGxsZwcXGBg4MD\nbG1tkZ6ejsjISGRkZAAAzM3NsW/fPrRs2VJfTa+VUlJSMH36dEyfPh2NGzdG48aN4eDgACEEbt68\nibt370p5x40bh5kzZ6ot59atW1Kfff/999VOUG5qaopffvkF3t7eSE5ORqdOndCpUyfY2toiMjJS\nmhh94MCBmD59ug72Vo9ecDCM6pjid9Uq+rd8+fJS2x84cEBKX7VqVbl1JSYmioCAAGFsbFyiXCsr\nKzF79my1I2xIMwsWLKj0cXVzc1NbRoMGDcq9A7h//37h5+cnzM3N1ZZrb28vZs2aJR4/fqzLXa0z\nqnJMAQhDQ0O15YwdO7bSw9EvXrwoOnToUKrsZs2aid27d+tgL+ue4qMWK/tvz549pcq5cOGClD59\n+vRS6fn5+WLJkiWiS5cuwtDQUG25np6eYvPmzaKwsFAfu17rHT16VAwePFjY2Nio/bxNTU1FQEBA\nhY9wqc7T9vb2Fda5ceNG4ezsXKouLy8vPnapJQqFQkydOlW0atWqzD76+uuvi02bNpXbl4p/p4eE\nhJRKv3//vpg6dWqJO/vF/xkZGQlfX19x5swZXe4uFVOZkVHFv9OHDBlSbnlZWVli0qRJwszMrMSx\nNTExEZ988glHMepJZUdGvfnmm1I+dc6dOyeGDh0q7Ozs1PZZc3NzERgYqLVpUOq6lJQUMXPmTOHp\n6an28zYwMBDe3t5qH6srbt26ddI2u3btKjdvfHy86NOnjzAwMChRl52dnVi+fHmteFRaJsT/vzVJ\npAchISElRs2Ux9PTs8TymACQmJiIsLAwAEUr+rz22msVlvP48WNER0fj6dOnsLe3R7t27WBiYlL1\nxlOZYmJiEBMTU6m8FhYW8PX1LfX+L7/8goKCAlhaWqJXr15lbq9anjgpKQmPHz+GmZkZmjZtWmIp\nVKq+qhxToGi0xcCBA0u9HxkZidu3bwMAevXqBUtLywrLUigUuHXrFvLz8+Hi4lLmaDmquuzs7BKT\nwVfGW2+9VWpC5LS0NJw9exZA0TLG5a3kkpWVJfXZnJwcWFlZoXXr1mjYsGHVd4AqpFQqpc87NTUV\npqamaNy4MVq1alWplRJV52lTU1P069evUvXJ5XIkJibCxMQEbm5uOp1Auy579OgRHjx4gKSkJBQW\nFsLa2hqtW7eGtbV1hdsW/0738vIqd+RbamqqVI8QAnZ2dvDw8Cgxep1077fffkN6enq510XFv9Nd\nXV3RsWPHCsvNyclBVFQUUlNTYWNjAw8Pj0qdm0k74uLipNWJy7suOnv2LNLS0gCg3JHpQgjcv38f\nSUlJSElJgampKZycnNCqVSudToxelz1+/BgJCQlISkpCQUEBbG1t4enpWamnMm7fvi2tbNmpUye4\nuLhUuE1ycjJiY2ORlZUFR0dHtG3bFkZGteMBNwajiIiIiIiIiIhIbxguJSIiIiIiIiIivWEwioiI\niIiIiIiI9IbBKCIiIiIiIiIi0hsGo4iIiIiIiIiISG8YjCIiIiIiIiIiIr1hMIqIiIiIiIiIiPSG\nwSgiIiIiIiIiItIbBqOIiIiIiIiIiEhvGIwiIiIiIiIiIiK9YTCKiIiIiIiIiIj0hsEoIiIiIiIi\nIiLSGwajiIiIiIiIiIhIbxiMIiIiIiIiIiIivWEwioiIiIiIiIiI9IbBKCIiIiIiIiIi0hsGo4iI\niIjqmDt37iAwMBCBgYG4d+/ei24OERER1TEyIYR40Y0gIiIioqpLT0/Hb7/9hqioKKSlpcHExAT2\n9vZwcHBAx44d0bp1a7XbXb58GZ07dwYAhIeHo0OHDvpsNhEREdVxRi+6AURERERUNc+ePcOCBQuw\ndu1a5ObmlpnP3t4ekydPxpw5c6pUfmxsLFavXg0AWLx4MRwdHavVXiIiIqLiGIwiIiIiqkEKCwsx\nYMAAnDp1CgBgY2MDf39/NGvWDObm5khISMDp06dx/fp1JCcn4+rVq6XKePXVV7F161YAQNOmTUul\nJyYmYtu2bQCAqVOnMhhFREREWsVgFBEREVENsmnTJikQNXLkSKxbtw4NGjQolS8yMhJLliyBuhkZ\n7OzsEBgYqPO2EhEREanDYBQRERFRDbJjxw4AQKNGjbBx40aYmJiozde+fXscOnQICoVCj60jIiIi\nqhiDUUREREQ1SFxcHADgjTfeKDMQVZy6x/Du3LmDZcuWAQC+/PJLuLq6Aiiai2rixIl4+PChlHfB\nggWwtrYusX1Z80gplUpcunQJFy5cQFJSEgwMDODi4gJfX194eHhUeh+JiIioduNqekREREQ1iIWF\nBTIzM9G+fXtERERoVEZZq+llZWXB3Ny8wu3lcnmp4NLZs2fx6aefIiYmRu02AwYMwA8//ABbW1uN\n2kxERES1B0dGEREREdUgHh4eCAsLw59//olTp07B19dXa2Wbmppi69atiI2NxbfffgsAWLRoUalR\nUE5OTiX+3r9/P4YMGYKCggI0atQIgwYNgru7OwoLCxEWFoaDBw8iODgYXl5euHLlSqUCXkRERFR7\ncWQUERERUQ2yY8cOjBgxAgBgbGyMIUOGwN/fH2+//TZsbGwqVUZZI6NUQkND0atXLwDqR0EVd+vW\nLbRr1w45OTnw8/PD7t27YWZmViJPWFgYfH19kZWVhcmTJyMoKKiyu0tERES1kMGLbgARERERVd7w\n4cMxZcoUAEB+fj62b9+O/v37w9bWFs2aNcOHH36ITZs2ITU1VS/tWbZsGXJycuDq6oo9e/aUCkQB\nQOfOnbFo0SIAwPfff4/c3Fy9tI2IiIheTgxGEREREdUwa9aswZkzZ9CvXz8YGxtL7ysUCuzfvx/j\nx49HkyZNMHPmTDx//lxn7VAqlTh06BAA4JNPPkH9+vXLzDtw4EAAQE5ODq5evaqzNhEREdHLj3NG\nEREREdVA3bt3R/fu3ZGVlYWwsDBcv34dEREROHv2LB49eoRnz55h1apViIqKwvHjx2FoaKj1NsTF\nxSE9PR0AcPHiRYwbNw4AoJoFovh/CwoKpO0ePHig9bYQERFRzcFgFBEREVENZmZmhl69eklzPBUU\nFGDv3r2YNGkSnj59ipMnT2Lnzp0YOXKk1utOSUmRXp85cwZnzpyp1HZZWVlabwsRERHVHAxGERER\nEdUiRkZGGDp0KExNTTFo0CAARavd6SIYJZPJpNeTJ0+Gp6dnpbZ75513tN4WIiIiqjkYjCIiIiKq\nhfz8/GBsbIz8/HzcvXtXJ3U4ODhIr93d3REYGKiTeoiIiKh24QTmRERERLWQkZER6tWrBwDlTiyu\njoFB5S4RW7ZsiUaNGgEAjh49WrUGEhERUZ3FYBQRERFRDXLw4EEUFhZWmO/kyZPIzs4GALRr165K\ndZiZmUmvMzIyyswnk8kwfPhwAEBISAhOnz5dpXqIiIiobmIwioiIiKgGmThxIjw9PbFhwwY8efJE\nbZ5jx45h2LBhAIoCRmPHjq1SHS1atJBeVzQp+ezZs+Hi4gIAGDhwIHbv3g2lUlkqn1KpxOXLl7Fx\n48YqtYWIiIhqH5lQrblLRERERC89BwcHJCcnAyh6nK5t27Zo3rw5LCws8OTJE0RERCAhIUHK//XX\nX2PGjBklyrh8+TI6d+4MAAgPD0eHDh1K1ePj44MzZ87AwMAA3t7eaNq0qfT43uLFi+Ho6Cjllcvl\neO+996R6HRwc0KlTJ1hbW+Px48f4+++/cevWLTx58gRubm64efOmdj8UIiIiqlEYjCIiIiKqQVav\nXo3Q0FBcvnwZT58+VZvH0NAQPXr0wNy5c+Ht7V0qvTLBqLt372Lw4MG4du1aqTS5XA4PD48S7z16\n9AhLly7Ftm3bkJmZWWobIyMjvPnmmxg8eDAmT55cmV0lIiKiWorBKCIiIqIaSAiB27dvIykpCamp\nqcjIyECDBg3g5OQEDw8PWFhYlLltamoqjhw5AgB4//330bBhwzLzxsXFITo6Gunp6dJcVf7+/rC2\ntlabv6CgABEREbh//z5ycnLQsGFD2Nvbo2XLluW2iYiIiOoOBqOIiIiIiIiIiEhvOIE5ERERERER\nERHpDYNRRERERERERESkNwxGERERERERERGR3jAYRUREREREREREesNgFBERERERERER6Q2DUURE\nREREREREpDcMRhERERERERERkd4wGEVERERERERERHrDYBQREREREREREekNg1FERERERERERKQ3\nDEYREREREREREZHeMBhFRERERERERER6w2AUERERERERERHpDYNRRERERERERESkNwxGERERERER\nERGR3jAYRUREREREREREesNgFBERERERERER6Q2DUUREREREREREpDcMRhERERERERERkd4wGEVE\nRERERERERHrDYBQREREREREREekNg1FERERERERERKQ3DEYREREREREREZHeMBhFRERERERERER6\n8/8AfTeUme1oe0MAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "N_sample = 5  # number of antenna lengths in a super cell\n",
        "N_repeat = 2  # number of repeated antenna lengths\n",
        "\n",
        "Ls_design = np.array([0.04, 0.106, 0.128, 0.15, 0.26])  # designed antenna lengths\n",
        "\n",
        "theta_design = np.interp(\n",
        "    Ls_design, Ls, theta\n",
        ")  # extract the reflection phase by interpolation the above simulation result\n",
        "\n",
        "# plot phase across the super cell\n",
        "plt.scatter(np.linspace(1, N_sample, N_sample), theta_design)\n",
        "plt.xlabel(\"Site\")\n",
        "plt.ylabel(\"Reflection phase (degree)\")\n",
        "plt.show()"
      ],
      "id": "d94ff2a8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To define the geometry of the super cell, we first generate the antennas\n",
        "systematically."
      ],
      "id": "9199943b-aec1-4024-9f1c-a9a351399d55"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "# construct ten antennas given the designed antenna lengths\n",
        "antennas = []\n",
        "xs = np.linspace(\n",
        "    Lx / 2, (N_sample * N_repeat - 0.5) * Lx, N_sample * N_repeat\n",
        ")  # x coordinates of each antenna\n",
        "\n",
        "# systematically generate antennas in the super cell\n",
        "for i in range(N_sample):\n",
        "    for j in range(N_repeat):\n",
        "        antennas.append(\n",
        "            td.Structure(\n",
        "                geometry=td.Box.from_bounds(\n",
        "                    rmin=(-w / 2 + xs[2 * i + j], -Ls_design[i] / 2, d2),\n",
        "                    rmax=(w / 2 + xs[2 * i + j], Ls_design[i] / 2, d2 + d1),\n",
        "                ),\n",
        "                medium=au,\n",
        "            )\n",
        "        )\n",
        "\n",
        "super_cell = antennas + [spacer, sub, gold_layer]"
      ],
      "id": "3837f1e6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To visualize the reflected field, we add a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "in the xz plane. The simulation domain is lengthened in the z direction\n",
        "such that we can better visualize the reflected field."
      ],
      "id": "a76af1bf-9a1a-4e5d-8d37-fcd05ab2f712"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define a field monitor to visualize the reflected field\n",
        "field_monitor = td.FieldMonitor(\n",
        "    center=(0, 0, 0),\n",
        "    size=(td.inf, 0, td.inf),\n",
        "    freqs=[freq0],\n",
        "    name=\"field\",\n",
        ")\n",
        "\n",
        "\n",
        "# define the super cell simulation\n",
        "sim = td.Simulation(\n",
        "    size=(Lx * N_sample * N_repeat, Ly, 3 * Lz),\n",
        "    center=(Lx * N_sample * N_repeat / 2, 0, 0),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "    structures=super_cell,\n",
        "    sources=[plane_wave],\n",
        "    monitors=[monitor_r, field_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=boundary_spec,\n",
        ")"
      ],
      "id": "3edecbab"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the generated antenna structures."
      ],
      "id": "9daec315-0454-4fe0-bb9c-709d7c87a544"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "# visualize the antennas in the super cell\n",
        "sim.plot(z=d2 + d1)\n",
        "plt.show()"
      ],
      "id": "67603512"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the simulation setup from the xz plane."
      ],
      "id": "9865e735-b9be-423e-b16c-3f6f5dde7a3d"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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h/vz5Sk9Pl1RxNy6C3WyTJk2yr2b59NNPB3k2gfPBBx9oz549kmQfAOsvhDuA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\n/w9FIE6Pl7+FhwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# visualize the xz plane\n",
        "sim.plot(y=0)\n",
        "plt.show()"
      ],
      "id": "25ef22d1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To have a better visualization, we can also plot the simulation in 3D."
      ],
      "id": "96b254b5-599a-489e-803a-18aceb3fc12a"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"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\" ></div>\n",
              "    <script>\n",
              "        \n",
              "        /**\n",
              "        * Simulation Viewer Injector\n",
              "        *\n",
              "        * Monitors the document for elements being added in the form:\n",
              "        *\n",
              "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
              "        *\n",
              "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
              "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
              "        * configuration of the first started script (e.g. viewer URL) applying.\n",
              "        *\n",
              "        */\n",
              "        (function() {\n",
              "            const TARGET_CLASS = \"simulation-viewer\";\n",
              "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
              "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
              "\n",
              "            class SimulationViewerInjector {\n",
              "                constructor() {\n",
              "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
              "                        this.injectViewer(node);\n",
              "                    }\n",
              "\n",
              "                    // Monitor for newly added nodes to the DOM\n",
              "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
              "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
              "                }\n",
              "\n",
              "                onMutations(mutations) {\n",
              "                    for (var mutation of mutations) {\n",
              "                        if (mutation.type === 'childList') {\n",
              "                            /**\n",
              "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
              "                            * It may be the case that setting content with innerHTML does not trigger.\n",
              "                            *\n",
              "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
              "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
              "                            */\n",
              "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
              "                            for (var node of viewers) {\n",
              "                                this.injectViewer(node);\n",
              "                            }\n",
              "                        }\n",
              "                    }\n",
              "                }\n",
              "\n",
              "                injectViewer(node) {\n",
              "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
              "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
              "                        // Mark node as injected, to prevent re-runs\n",
              "                        node.classList.add(ACTIVE_CLASS);\n",
              "\n",
              "                        var uuid;\n",
              "                        if (window.crypto && window.crypto.randomUUID) {\n",
              "                            uuid = window.crypto.randomUUID();\n",
              "                        } else {\n",
              "                            uuid = \"\" + Math.random();\n",
              "                        }\n",
              "\n",
              "                        var frame = document.createElement(\"iframe\");\n",
              "                        frame.width = node.dataset.width || 800;\n",
              "                        frame.height = node.dataset.height || 800;\n",
              "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
              "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
              "\n",
              "                        var postMessageToViewer;\n",
              "                        postMessageToViewer = event => {\n",
              "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
              "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
              "\n",
              "                                // Run once only\n",
              "                                window.removeEventListener('message', postMessageToViewer);\n",
              "                            }\n",
              "                        };\n",
              "                        window.addEventListener(\n",
              "                            'message',\n",
              "                            postMessageToViewer,\n",
              "                            false\n",
              "                        );\n",
              "\n",
              "                        node.appendChild(frame);\n",
              "                    }\n",
              "                }\n",
              "            }\n",
              "\n",
              "            if (!window.simulationViewerInjector) {\n",
              "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
              "            }\n",
              "        })();\n",
              "    \n",
              "    </script>\n",
              "    "
            ]
          }
        }
      ],
      "source": [
        "sim.plot_3d()"
      ],
      "id": "ca0830ef"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation to the server."
      ],
      "id": "01c6a5f4-c5f6-47a2-aee0-09197c28c8f4"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:11 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'beam_steering_metasurface'</span> with resource_id          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-49d2a306-fc43-4660-b768-97175590c528'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-49d2a306-fc43-4660-b768-97175590c528\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-49d2a306-fc4</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-49d2a306-fc43-4660-b768-97175590c528\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">3-4660-b768-97175590c528'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"aaf105459a0a4aec9be852d250619639\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:12 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:13 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"84cf08bca31e4bd1ad699b9785d8bd60\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">04:42:14 UTC </span>Loading results from data/simulation_data.hdf5                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"beam_steering_metasurface\", verbose=True)\n",
        "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
      ],
      "id": "284a2752"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Result Analysis\n",
        "\n",
        "After the simulation is complete, we first extract the reflected angles\n",
        "and power from the\n",
        "[DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html).\n",
        "Then, plot the power and angle of each diffraction order as a scatter\n",
        "plot in polar coordinate."
      ],
      "id": "000de542-6bbf-4021-bba5-404544a54e4f"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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LggULGDhwIB988AEGg8HSZQohhOgGEsyFEFbDbDbzzTffMGbMGGbOnMm6devQ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O3atUhJSYEgCHSWcV1dHd544w3U1dWhq6sLLpdL6rCjis/nQ39/P86fP48333wTx48fx9Wr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\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ZZ5/lnnvumVIt0+Vvf/sbt9xyC0ajkbCwMP7v//6P/Px8pctyCQMDA3J7O4wFvwULFhAT\nEyMChIrZbLYJK7njf+0IGOdiMBjkkO7l5SW/nf7/0xHgp3vF3NFqbjQa5f+Ofxv/vvO9XOt0ui90\nIzh+7aor/cLk9PT0UF5eLtrWz6K9vZ2vfe1rFBUVAXDvvffy5JNPTlsHQV1dHT09PUiSRF9fH0VF\nRbz22ms0NDSg0+l44YUXuOOOOyb1WFNdMTcajej1+rP+2T744AOuueYaLBYLMTExVFdXT2rorqAO\n41fMly1znRXzwkKxYu4MIpgLTvHpp5/yta99DbPZTHR0NHv37iUhIWHGH2O8/v5+5s2bR3d3N/Pm\nzaO2tvaCH8vZiouL+cY3vkFLSwsGg4EXXniB733ve0qX5RIkSaKlpYXy8nJ5FTAgIID09HTCw8PF\nRaibMZvNZwzt52rBPhtPT08MBoN80Xq2N51Oh4eHBzqdbsL7NRqN/PPl+LXFYpFbVtetW4eHh4cc\nkCVJQpIkbDYbVqtVfjv9/09/c3zcZDJhMpnOG7jHG78l4PTw7eXlJf59uJmBgQGOHz8uz3AQbetf\nVFhYyFVXXUVrayuenp688sor3HLLLTNex/DwMFdeeSXbtm1Do9Gwe/fuSZ0xPtVgPhn/9V//xaOP\nPgqMLQY4Tp0R1G98MM/JcZ1gXlQkgrkziGAuXLR9+/axceNGRkZGCAkJYffu3aSnp8/4Y5zJbbfd\nxu9//3tg7I664wxnV9De3s5VV13FwYMHAfjhD3/Ic889h06nU7gy12CxWKipqaGurk4eBDh37lwW\nLFggvygJ7s1qtZ51JXn8+y0Wi9KlXjSdTnfWToDx/+/h4SHC9ywwOjpKZWUljY2N8vuioqJIT08X\nbevjvPXWW9x+++2Mjo4SHh7Ou+++y8qVKxWrp7m5mfj4eOx2O9dddx1/+9vfzvt7piOYNzQ0kJiY\nCIwd3/rCCy9c9GMKrkEEc/cmbrcKF6W4uJivfOUrjIyMEBQUxKeffjrlQO2MxzibpKQk+denTp1y\nqWAeERHBzp07+cEPfsAf/vAHXnzxRSoqKnjvvfcICgpSujzFeXh4sGDBAhITE6mqqqKxsZHu7m72\n7NlDREQE6enpBAQEKF2mMI30er28InwuNpttQlCfzMr1mVa5L5RWq/3Civy5Vusdv/b09JQDt2PF\nXpjdzGYz1dXV1NfXY/9/GzdDQkJYsGCBuNgdx26387Of/YxnnnkGSZLIzs7m/fffV3xmS0xMDOnp\n6VRUVMizcpQQHx+PVqvFbrdz6tQpxeoQBGFqRDAXLlh5eTmXX345/f39+Pv7s2XLFpYsWTLjj3Eu\nAwMD8q99fX2d9rjOYjAYeOONN8jMzOSnP/0pO3fuZOnSpXz00UdOuzmhdt7e3mRlZTFv3jwqKytp\nbW2lvb2d9vZ2YmNjSUtLm/IsA8G96HQ6fH19L+rfuKMt/fRfm0wmtm3bBsBll12Gp6fnGVveBeFi\nWK1WTpw4IR/7CRAYGMiCBQsIDQ0VP2PjDA0Ncc0118gzZK677jreeOMNl3kdcJy2omRD6vDwsHxj\nxxWvfQTnEMPf3I8I5sIFqampYcOGDXR3d+Pj48O//vUv8vLyZvwxzsexN9TPz4+YmBinPrazaDQa\n7rnnHhYsWMB1111HXV0dy5cv589//jNf/epXlS7PZfj7+5Obm0tvby/Hjh2jq6uLpqYmWlpaSExM\nJDU1VQy4Ei7Y2QK2fdwVx7kGLgnChbDb7Zw8eZKqqip5poavry/p6elERUWJQH6a2tpavvrVr1JV\nVQXA448/zkMPPeQy3yeTySTXdjEzci6W49oHEDf5BUFFxBk0wpSdPHmS9evX09HRgZeXFx9++OGU\np4o74zHO549//KM8ofXrX/+6y4e2yy+/nMLCQubPn8/AwABXXnklDz/88IRgIIwd7bJq1SpWrFhB\nYGAgdrudEydO8Nlnn1FVVTXlgWGCIAgzzTHkcseOHZSVlWEymTAYDGRmZrJu3Tqio6NdJmy6inff\nfZdly5ZRVVWFn58f77//Pg8//LBLfZ9++9vfykdCfv3rX1ekhoGBAR5++GFgrJvoyiuvVKQOQRCm\nTgRzYUra2tpYv349TU1NeHp68u6777J+/foZf4z//d//5fHHH+fo0aNfCK6dnZ38/Oc/59ZbbwXG\nJnr/6le/mtLjKyU1NZWDBw9yxRVXYLPZ+M1vfsOaNWtoa2tTujSXExYWxtq1a8nJycHX1xer1Upl\nZSXbtm2bsD9TEATBlZw6dYpdu3ZRVFTE8PAwer2etLQ0NmzYQGJi4rQc+6dmZrOZO++8k6uvvpre\n3l6SkpI4cOAA3/jGN2ashqGhIW655RY++OADOXiPV1dXxw9/+EN5EnpaWhq33Xab0+sYHR3l5ptv\n5t13352wVQ/Gui+2bdvGypUrOXbsGDA2+C0lJcXpdQiuwdHK7gpvgnOIqezClHzve99j8+bNAAQF\nBTFv3rxzfn5sbCzvvfee0x/jwQcf5MknnwTG2ktDQ0MJDQ1lcHCQhoYGeW+XWs8Jt9vtPPnkk/zi\nF7/AZrMREhLCH/7wB77yla8oXZpLOlM7qI+PD8nJycTFxYlJ98IFm+5zzIXZQZIkTp06RU1NDd3d\n3cDY0ECxDefcamtrufrqqzly5AgAV199Na+//vqMD0jt6+ubMHwvICCAiIgIvLy8OHXqlHycHUBm\nZiYfffTRWQfR3XLLLRw9elT+/87OTnn6flpa2oQ94TfccAP33nuv/P9DQ0P4+/t/oQ5PT08aGxsn\nhPXvfve7bN68Wbz+uZnxU9mzslxnKvvhw2IquzOIzXLClIw/lqivr4/i4uJzfn5fX9+0PMatt96K\nt7c3W7ZsoaioiLa2tgmryqmpqVx33XXcfffdhISEnPPxXZFWq+Whhx5izZo1XH/99TQ3N/P1r3+d\nH//4xzz99NPihfY0jgvc2NhY6urqqKmpYWRkhLKyMqqqqkhKSiIxMREPDw+lSxUEYRaRJInW1lZq\namro7++X3x8XF8f8+fNdZmCZK/rzn//MnXfeycDAAAaDgf/5n//h9ttvV6R13d/fn7feeoutW7ey\nbds22tvbJ4Rgg8FATk4ON910E7fccss5X2uOHz9+1uueysrKCf9/+jnoPj4+vPXWW2zZsoVt27bR\n0dExoQ5/f38uueQSfvSjH7Fx48YL+aMKgqAgsWIuTElDQwNdXV2T/nwvLy8WLlzo9McYz26309nZ\nyalTp/D09CQiIoLAwMBJP76r6+7u5pZbbuGf//wnALm5ubzzzjvEx8crXJnrslgs1NfXc+LECcxm\nMzDWWZGYmMi8efMwGAwKVyiohVgxFy6EzWajqamJ2tpahoeHgbEbiLGxsSQnJ4uzyM/BZDLJx4jC\n2I32v//97yxevFjZwsYZGRmhra2NoaEhAgICiImJmfSN38rKyjO2w59JeHj4OY+AGx4epq2tTT5u\nNiYmRmyFcHPjV8wzM11nxbysTKyYO4MI5oKgApIk8dxzz/HAAw9gsVgIDg7m9ddf51vf+pbSpbk0\nq9VKY2MjtbW1jI6OAmMXx/Hx8SQnJ4vVKuG8RDAXpsJqtdLQ0MCJEycwGo3A2ACuhIQE5s2bh7e3\nt8IVurbjx49z9dVXy3ukv/Od7/Dyyy+LGxmC8P+IYO7eRDAXBBU5dOgQ1113HfX19Wg0Gn7wgx/w\nP//zPyIsnIfdbqe5uZmamhp5pUKj0RATE0NycjIBAQEKVyi4KhHMhckwm83U1dVRV1cnb9fy8PBg\n3rx5JCYmip+bSdi8eTM/+clPGB4exsfHhxdffJGbb77ZpaauC4LSRDB3byKYC4LK9Pf3873vfY93\n3nkHgMWLF/POO++IyauTIEkSbW1t1NTUTJhdEBERQWpqqngxEb5ABHPhXEZHRzlx4gQNDQ3YbDZg\nbPtVcnIy8fHx4tz7SRgeHua2227jb3/7GwALFy7k73//uzh/WxDOYHwwX7jQdYJ5ebkI5s4gXjEE\nQWUCAwN5++23Wb9+PT/+8Y85cuQIOTk5vPjii3znO99RujyXptFoiIqKIjIykq6uLqqrq+nq6qK9\nvZ329nZCQkJISUkhNDRUrNIIgnBWQ0ND1NTU0NTUJJ8C4uvrS0pKCjExMWJA5yQdPnyYa6+9lpqa\nGgC+//3v8z//8z+i5V8QhFlJBHNBUCGNRsPtt9/O8uXLue6666iqquLGG29k+/btvPzyy3h5eSld\nokvTaDTyEXu9vb3U1NTQ1tZGV1cXXV1dBAQEkJiYSExMjFjxEgQB+PeRZ/X19XR0dMjvDwwMJCUl\nhaioKHFDbwpeeOEFfvaznzE6Ooq/vz+vvfYa119/vdJlCYIgKEa0sguCyg0NDXHnnXfy1ltvAZCe\nns4777xDRkaGwpWpy+DgIDU1NTQ3N8srYB4eHsTFxZGYmDjhbFlh9hCt7ILFYqGxsZH6+np5wjrA\n3LlzSU1NFR02UzQwMMDNN9/M+++/D0B2djZvv/02ycnJyhYmCCowvpV9wQLXaWU/dky0sjuDCOaC\n4Cb++Mc/cueddzIyMoK3tzf/3//3//Hggw+Ko1OmyGg00tDQQENDAyaTSX5/eHg4SUlJ4iJ8lhHB\nfPYaGBigvr6epqYmef+4VqslJiaGxMREgoKClC1Qhf71r3/x/e9/n9bWVgDuvvtunnrqKXGEpSBM\nkgjm7k0Ec0FwI8ePH+fb3/42R44cAcbOPH/rrbeYP3++wpWpj91up7W1lfr6enp6euT3+/r6kpCQ\nQGxsrLiYnAVEMJ9dbDYbbW1tnDx5kq6uLvn9Pj4+JCQkEB8fL34GLsDAwAA//OEP+fOf/4wkScyd\nO5fNmzdz5ZVXKl2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zCgsLtWrVKnXp0kX33Xeftm3bZvYwAaBWnTt3Tk899ZRatWqlOXPm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\nAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "theta = np.array(sim_data[\"R\"].angles[0])  # diffraction angle theta\n",
        "phi = np.array(sim_data[\"R\"].angles[1])  # diffraction angle phi\n",
        "power = np.array(sim_data[\"R\"].power)  # diffraction power of each order\n",
        "\n",
        "# plot the power and angle in polar coordinate\n",
        "fig, ax = plt.subplots(subplot_kw={\"projection\": \"polar\"})\n",
        "plt.scatter(phi, theta * 180 / np.pi, s=60, c=power, vmin=0, vmax=1, cmap=\"bwr\")\n",
        "ax.set_rlim(0, 90)\n",
        "plt.colorbar()\n",
        "plt.show()"
      ],
      "id": "c79f466c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To see the power values more clearly, we plot the relationship between\n",
        "the power and the diffraction order."
      ],
      "id": "46d947e3-2304-41a0-8dfa-1f669fb6e0e7"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zzz71tv/HP/6x2K937949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\ni01ERERERERERGQ0/w+TofO3KNAOuQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "plt.scatter(sim_data[\"R\"].orders_x, sim_data[\"R\"].power.values[:, 0])\n",
        "plt.xlabel(\"Diffraction order\")\n",
        "plt.ylabel(\"Power\")\n",
        "plt.show()"
      ],
      "id": "42d47b63"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The Above result shows that about 80% of the power is diffracted to\n",
        "about 45 degree. This is consistent with our design since we have\n",
        "\\$2/L_x0.71k_0 \\$, where $L_x$ = 1200 nm is the super cell size in the x\n",
        "direction. This gives a diffraction angle of\n",
        "$sin^{-1}(0.71)\\approx 45^{\\circ}$ at the first diffraction order. Note\n",
        "that another 5% of the power that is also diffracted to 45 degree\n",
        "corresponds to the -1 diffraction order.\n",
        "\n",
        "Lastly, visualize the field distribution at the xz plane. The field\n",
        "above the super cell resembles a plane wave propagating at about\n",
        "45$^{\\circ}$. Clearly it is not a perfect plane wave. The distortion is\n",
        "due to the fact that 5% of the power is diffracted to the -1 order and\n",
        "about 1% to the 0 order. This design can potentially be further\n",
        "optimized."
      ],
      "id": "25c81231-6460-4046-a08b-5ac8614fc22c"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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pEpsTiIjIJ61atQoPPPAAHnzwQSxevNjdxSGSxYS35FPS0tIQGRkJADh96hTC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\ngg==\n"
          }
        }
      ],
      "source": [
        "# plot Ey distribution\n",
        "fig, ax = plt.subplots()\n",
        "Ey = sim_data[\"field\"].Ey.sel(f=freq0).real\n",
        "Ey.plot(x=\"x\", y=\"z\", ax=ax, vmin=-100, vmax=100, cmap=\"bwr\")\n",
        "ax.set_aspect(\"equal\")"
      ],
      "id": "8f739971"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}